Publication Cover
Applicable Analysis
An International Journal
Volume 62, 1996 - Issue 1-2
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Original Articles

Shadowing in perturbation theory

Pages 161-179 | Received 01 Jun 1996, Published online: 20 Jan 2011

References

  • Balbi and Jacques‐Henri . 1980 . Estimation of the relative error for the averaging method, Int . J . Non- Linear , 15 : 13 – 20 .
  • Guckenheimer , John , Holmes and Philip . 1983 . Nonlinear Oscillations, Dynamical Systems, and Bifurcations , N.Y : Springer .
  • Ho , C. P. 1991 . “ Second order shadowing approximations for passage through resonance and capture at resonance ” . In Ph. D. Dissertation , Ames, Iowa : Iowa State University .
  • Murdock and James . 1990 . A shadowing approach to passage through resonance . Proc. Royal Soc , ll6 : 1 – 22 .
  • Murdock , James and Perturbations . 1991 . Theory and Methods , N.Y : Wiley .
  • Murdock and James . Shadowing multiple elbow orbits: an application of dynamical systems to perturbation . J. Differential Equations , 119 224 – 247 .

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